On a multiplicative version of Mumford's theorem
Algebraic Geometry
2016-02-17 v1
Abstract
A theorem of Esnault, Srinivas and Viehweg asserts that if the Chow group of 0-cycles of a smooth complete complex variety decomposes, then the top-degree coherent cohomology group decomposes similarly. In this note, we prove a similar statement for Chow groups of arbitrary codimension, provided the variety satisfies the Lefschetz standard conjecture.
Cite
@article{arxiv.1602.04944,
title = {On a multiplicative version of Mumford's theorem},
author = {Robert Laterveer},
journal= {arXiv preprint arXiv:1602.04944},
year = {2016}
}
Comments
7 pages, to appear in Abh. Math. Semin. Univ. Hamburg. Comments still very welcome !